Question

1. A consumer has an utility function given by U(x1, x2) = ? log(x1) + (1...

1. A consumer has an utility function given by U(x1, x2) = ? log(x1) + (1 ? ?) log(x2), with0<?<1. HerincomeisgivenbyM,andthepricesshefacesarep1 andp2, respectively. What is the optimal choice of x1 and x2? Follow the steps outlined in the math refresher notes. How does this result compare to the one in the notes? Explain.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A consumer has a utility function of the type U(x1, x2) = max (x1, x2). What...
A consumer has a utility function of the type U(x1, x2) = max (x1, x2). What is the consumer’s demand function for good 1?
3. Suppose that a consumer has a utility function u(x1, x2) = x1 + x2. Initially...
3. Suppose that a consumer has a utility function u(x1, x2) = x1 + x2. Initially the consumer faces prices (1, 2) and has income 10. If the prices change to (4, 2), calculate the compensating and equivalent variations. [Hint: find their initial optimal consumption of the two goods, and then after the price increase. Then show this graphically.] please do step by step and show the graph
Consider the following utility function: U(x1,x2) X11/3 X2 Suppose a consumer with the above utility function...
Consider the following utility function: U(x1,x2) X11/3 X2 Suppose a consumer with the above utility function faces prices p1 = 2 and p2 = 3 and he has an income m = 12. What’s his optimal bundle to consume?
Show that the utility functions u(x1, x2)=sqrt(x1) *sqrt(x2) and u(x1, x2) = 0.7 log(x1) + 0.3...
Show that the utility functions u(x1, x2)=sqrt(x1) *sqrt(x2) and u(x1, x2) = 0.7 log(x1) + 0.3 log(x2) represent different preferences. Hint: find two bundles such that a consumer’s prefer- ences are reversed under the above two utility functions.
2. A consumer has the utility function U ( X1, X2 ) = X1 + X2...
2. A consumer has the utility function U ( X1, X2 ) = X1 + X2 + X1X2 and the budget constraint P1X1 + P2X2 = M , where M is income, and P1 and P2 are the prices of the two goods. . a. Find the consumer’s marginal rate of substitution (MRS) between the two goods. b. Use the condition (MRS = price ratio) and the budget constraint to find the demand functions for the two goods. c. Are...
1. Suppose that a consumer has a utility function U(x1, x2) = x 0.5 1 x...
1. Suppose that a consumer has a utility function U(x1, x2) = x 0.5 1 x 0.5 2 . Initial prices are p1 = 1 and p2 = 1, and income is m = 100. Now, the price of good 1 increases to 2. (a) On the graph, please show initial choice (in black), new choice (in blue), compensating variation (in green) and equivalent variation (in red). (b) What is amount of the compensating variation? How to interpret it? (c)...
Consider a consumer who consumes two goods and has utility function u(x1,x2)=x2 +√x1. The price of...
Consider a consumer who consumes two goods and has utility function u(x1,x2)=x2 +√x1. The price of good 2 is 1, the price of good 1 is p, and income is m. (1) Show that a) both goods are normal, b) good 1 is an ordinary good, c) good 2 is a gross substitute for good 1.
Suppose x1 and x2 are perfect substitutes with the utility function U(x1, x2) = 2x1 +...
Suppose x1 and x2 are perfect substitutes with the utility function U(x1, x2) = 2x1 + 6x2. If p1 = 1, p2 = 2, and income m = 10, what it the optimal bundle (x1*, x2*)?
The utility function is given by u (x1,x2) = x1^0.5 + x2^0.5 1) Find the marginal...
The utility function is given by u (x1,x2) = x1^0.5 + x2^0.5 1) Find the marginal rate of substitution (MRSx1,x2 ) 2) Derive the demand functions x1(p1,p2,m) and x2(p1, p2,m) by using the method of Lagrange.
The utility function is given by u (x1, x2) = x1^0.5+x2^0.5 1) Find the marginal rate...
The utility function is given by u (x1, x2) = x1^0.5+x2^0.5 1) Find the marginal rate of substitution (MRSx1,x2 ) 2) Derive the demand functions x1(p1, p2, m) and x2(p1,p2, m) by using the method of Lagrange.